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Finding the Fourth Proportional to 14,134.14, 19,492.38 and 8,829.48

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Solution

The fourth proportional to 14,134.14, 19,492.38 and 8,829.48 is: 12,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.14 : 19,492.38 = 8,829.48 : x
  2. Step 2: Convert to fraction form
    14,134.14/19,492.38 = 8,829.48/x
  3. Step 3: Cross multiply
    14,134.14x = 19,492.38 × 8,829.48
  4. Step 4: Simplify right side
    14,134.14x = 172,107,579.36
  5. Step 5: Solve for x
    x = 172,107,579.36/14,134.14
  6. Step 6: Final answer
    x = 12,176.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.